113. (a) Prove: If A is invertible, then det(A-1) = A(b) Prove: If A is invertible, then adj(A) is invertible and[adj(A-1)]-1 = A-1 = adj(A).det(A)det (A-)(Hint: you may use part (a) to prove part (b) of this proof)c梦0P Type here to searchhpDesign Using Autodesk Revit 20201444444CintelTORIALAI STANINZA

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Answered: 1 13. (a) Prove: If A is invertible,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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1 13. (a) Prove: If A is invertible, then det(A-1) = A %3D det(A) (b) Prove: If A is invertible, then adj(A) is invertible and [adj(A-!)] = Za4- = adj(A). %3D det(A-) (Hint: you may use part (a) to prove part (6) of this proof)